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Finding the Fourth Proportional to 23,708.36, 32,702.70 and 14,141.54

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Solution

The fourth proportional to 23,708.36, 32,702.70 and 14,141.54 is: 19,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,708.36 : 32,702.70 = 14,141.54 : x
  2. Step 2: Convert to fraction form
    23,708.36/32,702.70 = 14,141.54/x
  3. Step 3: Cross multiply
    23,708.36x = 32,702.70 × 14,141.54
  4. Step 4: Simplify right side
    23,708.36x = 462,466,540.16
  5. Step 5: Solve for x
    x = 462,466,540.16/23,708.36
  6. Step 6: Final answer
    x = 19,506.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.